Geometrodynamics of Information on Curved Statistical Manifolds and its Applications to Chaos

zbMath1153.37348arXiv0810.4623MaRDI QIDQ3597795

Carlo Cafaro, Sean Alan Ali

Publication date: 9 February 2009

Full work available at URL: https://arxiv.org/abs/0810.4623

zbMATH Keywords

geometryprobability theorynonlinear dynamics and chaosdifferential geometry and topologyentropic dynamicsinformation geometrodynamical entropy

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Measures of information, entropy (94A17)

Related Items (6)

Application of the maximum relative entropy method to the physics of ferromagnetic materials ⋮ An information geometric perspective on the complexity of macroscopic predictions arising from incomplete information ⋮ Information geometric methods for complexity ⋮ Reexamination of an information geometric construction of entropic indicators of complexity ⋮ Quantifying the complexity of geodesic paths on curved statistical manifolds through information geometric entropies and Jacobi fields ⋮ Theoretical investigations of an information geometric approach to complexity

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